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math.NA2024
Random Batch Method with Momentum Correction
Yanshun Zhao, Jingrun Chen, Zhiwen Zhang
The Random Batch Method (RBM) is an effective technique to reduce the computational complexity when solving certain stochastic differential problems (SDEs) involving interacting pa…
math.NA2019
A multiscale reduced basis method for Schrödinger equation with multiscale and random potentials
Jingrun Chen, Dingjiong Ma, Zhiwen Zhang
The semiclassical Schrödinger equation with multiscale and random potentials often appears when studying electron dynamics in heterogeneous quantum systems. As time evolves, the wa…